There is no single Buddhist mecca, an indisputable holiest shrine. Many might argue for Bodhgaya, India reputed to be the exact site of the Buddha's great enlightenment. But British archeology of yore leaves much to be desired. There is doubt the exact spot and tree are known. (The original Bodhi tree was chopped down by Muslim zealots at the thought that people were "worshipping" a tree instead of Allah). Shwedagon Pagoda, however, is an impressive site. Situated in the capital of Burma (Myanmar), it was built to house sacred relics but has grown in size and significance over its supposed 2,500 year old lifespan. It has been rebuilt several times.
He was on his way to Sarnath, near Varanasi, to find the five ascetics, who abandoned him as he pursued enlightenment by neither struggling nor stopping. (To them not struggling was stopping). Two Burmese merchants were traveling through India when they came upon the Buddha and were so impressed with him that they asked for a keepsake to remember him by. He is said to have pull a few hairs from his head, which were subsequently enshrined at the massive shrine complex that has become modern Shwedagon Pagoda.